A pendulum consists of a 2.8 kg stone swinging on a 4.2 m string of negligible mass. The stone has a speed of 7.6 m/s when it passes its lowest point. (a) What is the speed when the string is at 56° to the vertical?(b) What is the greatest angle with the vertical that the string will reach during the stone's motion?(c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system?For each question, provide your answer in the corresponding fields:(a) - Number: [Input Field] - Unit: [Dropdown Menu](b) - Number: [Input Field] - Unit: [Dropdown Menu](c) - Number: [Input Field] - Unit: [Dropdown Menu]

Given data: The mass of stone is m=2.8 kg. The length of string is l=4.2 m. The speed of stone at…

Answered: A pendulum consists of a 2.8 kg stone…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Tarzan swings on a 26.0-m-long vine initially inclined at an angle of 40.0° with the vertical. (a) What is his speed at the bottom of the swing if he starts from rest? (b) What is his speed at the bottom of the swing if he pushes off with a speed of 5.00 m/s?
To make a pendulum, a 300 g ball is attached to one end of a string that has a length of 1.4 m and negligible mass. (The other end of the string is fixed.) The ball is pulled to one side until the string makes an angle of 30.0 with the vertical; then (with the string taut) the ball is released from rest. Find (a) the speed of the ball when the string makes an angle of 20.0 with the vertical and (b) the maximum speed of the ball. (c) What is the angle between the string and the vertical when the speed of the ball is one-third its maximum value?
A static object at an altitude of 30m from the surface of the ground has a potential energy of 1470J as shown in Fig. (2). If the body falls down, neglecting the air resistance, calculate: 1) The kinetic energy of the body and its potential energy at a height 20m from the ground surface. 2) The velocity of the body at the moment of collision with the ground. KE = ? PE = ? h = 30 m h = 20 m v = ? Ground surface Fig. 2
A frictionless simple pendulum, with a small but dense 4.4-kg mass at the end and a length of 75 cm, is released from rest at an angle of 50° with the vertical. (a) To what height above its lowest point does the mass swing on the other side? (b) What is the speed of the mass at the bottom of the swing?
A 27.0-kg child on a 3.00-m-long swing is released from rest when the ropes of the swing make an angle of 26.0° with the vertical. (a) Neglecting friction, find the child's speed at the lowest position. m/s (b) If the actual speed of the child at the lowest position is 2.10 m/s, what is the mechanical energy lost due to friction?
Suppose that 60 J of work is done to stretch a bow a distance of 0.5 m. (a) What is the increase in potential energy of the bow? (b) If the spring constant of the bow is 1200 Nt/m, what distance was the bow stretched?
A pendulum consists of a 1.2 kg stone swinging on a 4.2 m string of negligible mass. The stone has a speed of 8.3 m/s when it passes its lowest point. (a) What is the speed when the string is at 56" to the vertical? (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system? (a) Number i Unit (b) Number i Unit (c) Number i Unit
An object of mass 10 kg is released at point A, slides to the bottom of the 30 incline,then collides with a horizontal massless spring, compressing it a maximum distance of0.75 m. (See below.) The spring constant is 500 N/m, the height of the incline is 2.0m, and the horizontal surface is frictionless. (a) What is the speed of the object at thebottom of the incline? (b) What is the work of friction on the object while it is on theincline? (c) The spring recoils and sends the object back toward the incline. What is thespeed of the object when it reaches the base of the incline? (d) What vertical distancedoes it move back up the incline?
Tarzan swings on a 39.0-m-long vine initially inclined at an angle of 38.0° with the vertical. (a) What is his speed at the bottom of the swing if he starts from rest? m/s(b) What is his speed at the bottom of the swing if he pushes off with a speed of 5.00 m/s?
At the low point in its swing, a pendulum bob with a mass of 0.15kg has a velocity of 14 m/s. A.) What is its potential energy at the high point (assuming the potential energy at the low point was zero)? B.) what is its kinetic energy at the high point?
A 0.40-kg mass attached to a spring is pulled back horizontally across a table so that the potential energy of the system is increased from zero to 155 J. Ignoring friction, what is the kinetic energy of the system after the mass is released and has moved to a point where the potential energy has decreased to 70 J?

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